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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 135240.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
135240.f1 | 135240ca1 | \([0, -1, 0, -1534696, 731151961]\) | \(4333978732996864/7820156745\) | \(721306358779723920\) | \([]\) | \(2822400\) | \(2.3187\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 135240.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 135240.f do not have complex multiplication.Modular form 135240.2.a.f
sage: E.q_eigenform(10)